A local company is concerned about the number of days missed by its employees du

Question

A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees is selected. The Number of days absent in one year is listed below. An Incentive program is offered in an attempt to decrease the number of days absent. The number of days ansent in one year after the incentive program is listed below. Test the claim that the incentive program cuts down on the number of days missed by employees. Use a=0.05. Assume that the distribution is normally distributied.

Employee A B C D E F G H I J Days Absent Before incentive 3 8 7 2 9 4 2 0 7 5 Days absent after incentive 1 7 7 0 8 2 0 1 5 5

Explanation / Answer

Paired T-Test and CI: Before, After

Descriptive Statistics

Estimation for Paired Difference

µ_difference: mean of (Before - After)

Test

paired t-test is used as sample remain same .

since p-value = 0.006 < 0.05

we reject the null hypothesis and conclude that there is significant evidence that the incentive program cuts down on the number of days missed by employees.

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Sample N Mean StDev SE Mean Before 10 4.700 2.983 0.943 After 10 3.600 3.134 0.991

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